1. The problem statement, all variables and given/known data ∞ Σ (-1)n-1 n/n2 +4 n=1 2. Relevant equations lim |an+1/an| = L n→∞ bn+1≤bn lim bn = 0 n→∞ 3. The attempt at a solution So I tried multiple things while attempting this solution and got inconsistent answers so I am thoroughly confused. My work is on the attached photo. I found that the ratio test did not work because the limit equaled 1. Then I used the comparison test and found that the series was convergent...which I'm really confused about because one can compare n/n2 +4 to n/n2 which is 1/n and is divergent. Then I compared values of the function to its absolute function and the values were the same...but I'm not sure what that means... I'm also really not sure what the difference is between being absolutely convergent vs conditionally convergent. Any help is greatly appreciated.